40006434965952 has 1344 divisors, whose sum is σ = 140179166797824. Its totient is φ = 9966856273920.

The previous prime is 40006434965929. The next prime is 40006434966019. The reversal of 40006434965952 is 25956943460004.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 40006434965892 and 40006434965901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52848658758 + ... + 52848659514.

It is an arithmetic number, because the mean of its divisors is an integer number (104299975296).

Almost surely, 2^{40006434965952} is an apocalyptic number.

40006434965952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006434965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70089583398912).

40006434965952 is an abundant number, since it is smaller than the sum of its proper divisors (100172731831872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40006434965952 is a wasteful number, since it uses less digits than its factorization.

40006434965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 40006434965952 in words is "forty trillion, six billion, four hundred thirty-four million, nine hundred sixty-five thousand, nine hundred fifty-two".